Bellman functions and L^p estimates for paraproducts

IF 0.4 4区数学 Q4 STATISTICS & PROBABILITY Probability and Mathematical Statistics-Poland Pub Date : 2016-09-09 DOI:10.19195/0208-4147.38.2.11

Vjekoslav Kovavc, K. vSkreb

引用次数: 5

Abstract

We give an explicit formula for one possible Bellman function associated with the Lp boundedness of dyadic paraproducts regarded as bilinear operators or trilinear forms. Then we apply the same Bellman function in various other settings, to give self-contained alternative proofs of the estimates for several classical operators. These include the martingale paraproducts of Bañuelos and Bennett and the paraproducts with respect to the heat flows.

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副积的Bellman函数和L^p估计

对于双线性或三线性形式的并矢副积的Lp有界性，给出了一个可能的Bellman函数的显式公式。然后，我们将相同的Bellman函数应用于各种其他设置，给出几个经典算子估计的自包含替代证明。这些包括Bañuelos和Bennett的鞅副积以及关于热流的副积。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Probability and Mathematical Statistics-Poland STATISTICS & PROBABILITY-

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： PROBABILITY AND MATHEMATICAL STATISTICS is published by the Kazimierz Urbanik Center for Probability and Mathematical Statistics, and is sponsored jointly by the Faculty of Mathematics and Computer Science of University of Wrocław and the Faculty of Pure and Applied Mathematics of Wrocław University of Science and Technology. The purpose of the journal is to publish original contributions to the theory of probability and mathematical statistics.

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